        Borges et al. [1]} presented a scheme,
known as WENO-Z, by introducing global smoothness indicator. The idea
is to use whole five point stencil \(S^{5}\)  to define a new smoothness
indicator of higher order than the classical smoothness indicator
\(\beta _{k}\) , as
\(\tau _{5}=|\beta _{0}-\beta _{2}|.\) 
